5 papers
Hydrodynamics of perfect fluids with anomalies from the fermionic path integral
Alexander G. Abanov, Andrea Cappelli
The path integral of the Dirac fermion with vector and axial gauge backgrounds is analyzed near the infrared limit in the presence of residual irrelevant current-current interactio…
Gauging in superconductors and other electronic systems
Marcus Berg, Andrea Cappelli, Riccardo Villa
Ordinary, s-wave superconductors have been recognized as being topological phases of matter, in which the dynamical gauge field implies less understood global features. Using the t…
Bosonizations and dualities in 2+1 dimensions
Andrea Cappelli, Riccardo Villa
We discuss two methods for relating bosonic and fermionic relativistic field theories in 2+1 dimensions, the gauging and the flux attachment. The first is primarily a corre…
Bosonization of 2+1 dimensional fermions on the surface of topological insulators
Andrea Cappelli, Lorenzo Maffi, Riccardo Villa
Three-dimensional topological insulators can be described by an effective field theory involving two `hydrodynamic' Abelian gauge fields. The action contains a bulk topological BF…
Hydrodynamics, anomaly inflow and bosonic effective field theory
Alexander G. Abanov, Andrea Cappelli
Euler hydrodynamics of perfect fluids can be viewed as an effective bosonic field theory. In cases when the underlying microscopic system involves Dirac fermions, the quantum anoma…